Question

The length of a rectangle is 9.7 cm more than 4 times the width. If the perimeter of the rectangle is 91.4 cm what are its dimensions

Answer 1

I hope this helps you

Answer 2

Answer:

The dimensions of the rectangle are 38.5 × 7.2

Step-by-step explanation:

Let the width of a rectangle = x

The length of the rectangle = 4x + 9.7 cm

The perimeter of the rectangle = 91.4 cm

Perimeter = 2(Length + Width)

                 = 2{(4x + 9.7) + x } = 91.4

                  2(5x + 9.7) = 91.4

                  10x + 19.4 = 91.4

                  10x = 91.4 - 19.4

                  10x = 72

                  x = $\frac{72}{10}$

                  x = 7.2

Width = 7.2

Length = (4 × 7.2) + 9.7 = 38.5

The dimensions of the rectangles are 38.5 × 7.2